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$1 = €0.93. Change €100 to dollars.

Step by step, with the reason for every step · Exchange rates · Foundations

Step by step

The question

Question: change €100 to dollars, when $1 = €0.93.

$1 = €0.93. Change €100 to dollars.

1 Write the rate

The rate says: 1 dollar is worth 0.93 euros.

$1 = €0.93

From dollars to euros, we multiply by 0.93.

Going back, we divide by 0.93.

dollars → euros: × 0.93
euros → dollars: ÷ 0.93

2 Divide by the rate

Each $1 gives €0.93.

So we find how many €0.93 fit in €100: we divide by 0.93.

€100 = $ 1000.93

Careful!

From euros back to dollars goes the other way.

We divide, not multiply.

Careful: not 100 × 0.93 = 93 ✗

100 divided by 0.93 is about $107.53.

≈ $107.53

To divide by 0.93, we move the point in both numbers 2 places: 10000 divided by 93.

Money goes to the cent.

100 ÷ 0.93 = 10000 ÷ 93 ≈ 107.53

So €100 is about $107.53.

3 Check

Let's check: change the answer back.

$107.53 times 0.93 is about €100.

change it back: $107.53 × 0.93 ≈ 100

That is what we started with.

So the answer is right!

€100 — what we started with

Let's look back.

First: write the rate.

Then: divide by the rate.

Last: check.

Answer
100 ÷ 0.93 = 10000 ÷ 93 ≈ 107.53

Your turn

Try this one yourself, then check:

$1 = €0.85. Change €102 to dollars.
Show the answer
€102 = $120

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